Respuesta :
Answer: 276 guests were at the wedding.
Step-by-step explanation:
Let x represent the number of guests that were at the wedding.
The guests had to choose their meal from beef,chicken or vegetarian.
1/3 of the guests chose beef. This means that the number of guests that chose beef is x/3.
If 5/12 of the guests chose chicken, it means that the number of guests that chose chicken is 5x/12. The total number of guests that chose beef and chicken is
x/3 + 5x/12 = 9x/12
The number of guests that chose vegetarian is
x - 9x/12 = 3x/12
69 of the guests chose vegetarian. This means that
3x/12 = 69
3x = 12 × 69 = 828
x = 828/3
x = 276 guests
